You've certainly had a lot of response to your question. It DOES take a village to raise children. Girls are, in general, far more emotional in their rebellion than boys - and it seems harder to reason with them during the teenage years.
I think I tried EVERYTHING with my daughter, and some of the things that worked were:
Consistency
Boundaries
Respect out = respect in
Fun
When my daughter tried the direct "no" approach, her life was miserable. We responded with a direct "no" as well and her social life was non-existent.
Nagging does NOT work. (1)Give direction. (2)Ask a reminding question. (3)Consequence the result.
For instance, if regular chores are on paper then that's the direction! If it is something you need help with today. Mention that you need help and ask if she would like to help now or at 2:00 p.m. (if you have flexibility with the need). If 2:15 rolls around and the chore was incomplete. Ask "What do you remember me asking about the dishes, or the garbage, or whatever". My daughter SOMETIMES actually FORGOT and would proceed to do the chore with an apology! Then thank her. If a regular chore is NOT done, punish. It's best to set this all up ahead of time.
Set time to talk about the function of the house. State that families work together and everyone participates. Give choice on some chores. Explain there are other chores that you will teach her that she may not like doing, but she must learn. (e.g. cleaning the bathroom, cooking, yard work). These things equip her to live on her own - and that is the goal, isn't it?
I like the comment from one of your other responders. Oh, Fifi went home early today - you'll have to do it yourself. Sometimes, this just makes them laugh and they do it willingly. I always wanted to box up all of the empty toilet paper rolls (left by my duaghter) and wrap them for Christmas! But I never had enough patience to collect them for that long.
Don't argue about the chore.
Don't argue about the consequence.
Be thankful.
Always show respect.
Always expect to be respected.
If the chore is not done, just note it somewhere for yourself. After so many times, quietly take something away. When she asks for it. Remind her about the incomplete chores. Explain that "it" will be returned when she demonstrates the ability to REGULARLY complete that chore for a period of time. Then, quietly return it when the chore has been done without reminding on a regular basis.
RESPECT: Ask her pleasantly or even with a silly voice, "Did you just raise your voice to me?" or "Did you just flat out deny my request?" Often times, she'll respond with a smirk or an "ah ha" about her own realization that she was wrong. If you ask in a mean tone or voice, it WON'T work.
I certainly didn't have the BEST teenage years with my daughter, but I can reflect back with some laughter, a sigh, and thankfulness that it wasn't worse. We are good friends now, and still have some spitfire now and again. But we have a good laugh about the teenage years. And she asks for my advice and for my help. She is living on her own, very responsibly. She knows how to cook, clean, do her laundry, pay her bills, work and go to school!
I have other tips, if you are interested in how I handled specific situations over the years. Feel free to send me a personal note. I'd be happy to help.
Mom of four: 19yr girl, 12yr boy, 7yr boy, 4mos boy
If you are a Christian family, and your daughter respects biblical input, remind her of these verses:
Philippians 2:15 "Do everything without arguing or complaining so that you may be blameless and pure children of God in the midst of a crooked and twisted generation, among whom you shine as lights in the world..."
Ephesians 6:1 "Children, obey your parents in the Lord, for this is right."
The best to you E.! Remember there is much power in prayer, too! Pray for your daughter regularly.